INTEGRAL REPRESENTATION FOR THE NON-RELATIVISTIC COULOMB GREEN'S FUNCTION
Although the radial Green-s function for the Schrodinger equation in a Coulomb field can be obtained in the usual way in terms of the two linearly independent solutions to the radial equation for a particular angular momentum state. the sum over angular momentum states does not seem to have been carried out. In this note this sum is carried out and a "closed form" obtained in the form of a double integral. The result is believed to be useful for perturbation calculations where the "intermediate states" involve many angular momentum states. (auth)
- Research Organization:
- Univ. of California, Berkeley
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-15-014610
- OSTI ID:
- 4059926
- Journal Information:
- J. Math. Phys., Journal Name: J. Math. Phys. Vol. Vol: 2
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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